8523085824 has 288 divisors, whose sum is σ = 27147294720. Its totient is φ = 2554675200.

The previous prime is 8523085783. The next prime is 8523085849. The reversal of 8523085824 is 4285803258.

It is a tau number, because it is divible by the number of its divisors (288).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 8523085824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25749339 + ... + 25749669.

It is an arithmetic number, because the mean of its divisors is an integer number (94261440).

Almost surely, 2^8523085824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8523085824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13573647360).

8523085824 is an abundant number, since it is smaller than the sum of its proper divisors (18624208896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8523085824 is a wasteful number, since it uses less digits than its factorization.

8523085824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 8523085824 is about 92320.5601369489. The cubic root of 8523085824 is about 2042.6734959070.

The spelling of 8523085824 in words is "eight billion, five hundred twenty-three million, eighty-five thousand, eight hundred twenty-four".